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2 years ago

Passing through (1,2) and (5,10)

Mathematics

1 answer:

uranmaximum [27]2 years ago

8 0

Step-by-step explanation:

equation of the line is

y =mX + C

to calculate m(slope) :

m= 10-2/5-1 = 2

to find C ....Substitute in eq. by one point

2= 2×1+C

C. = 0

So the eq. is

y=2X

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Help lol question 1 and 2 15 points

DiKsa [7]

Answers:

Choice B) y = (1/4)x
The unit rate is  3.89  dollars per pound. It costs  23.34  dollars for a turkey that weighs 6 pounds.

=====================================================

Explanations:

Direct proportional equations are always in the form y = kx, where k is some constant. In the case of choice B, we have k = 1/4. Visually, direct proportion equations are always straight lines and go through the origin.
Divide $34.99 over 9 to get 34.99/9 = 3.88777 approximately. This rounds to 3.89, so it costs $3.89 per pound. That's the unit rate. Multiply this by 6 to get 6*3.89 = 23.34 which is the cost of the 6 pound turkey.

6 0

3 years ago

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pls help will give brainliest Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Base

kaheart [24]

Answer:

First "order of operations" mistake: step 2

First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

$\left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}$

for x = -1 and y = 2.

Her work seems to be ...

Step 1

$\text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}$

Step 2

$\text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}$

Step 3

$\text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}$

Step 4

$\text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}$

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

$\left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}$

We expect your answer is supposed to be Step 4.

7 0

3 years ago

Can someone plz help ASAP -5+30<-10

Zigmanuir [339]

Answer:

This is False

Step-by-step explanation:

-5+30<-10

False

6 0

2 years ago

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100 more than the difference between 88 and 66

asambeis [7]

Wouldn't the answer be 122

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3 years ago

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Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!

yKpoI14uk [10]

<h3>Answer: y = (-3/2)x+3</h3>

In decimal form, this is y = -1.5x+3

=========================================

Explanation:

Start at (0,3). Move three units down and two units to the right to get to (2,0)

slope = rise/run

slope = -3/2

rise = -3 = go 3 units down

run = 2 = go 2 units to the right

--------------------------

We could use the two points (0,3) and (2,0) in the slope formula below

m = (y2-y1)/(x2-x1)

m = (0-3)/(2-0)

m = -3/2

So this is another way to see the slope is -3/2

--------------------------

The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3

Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3

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3 years ago

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